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Finding the Third Proportional to 28,164 and 60,978

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Solution

The third proportional to 28,164 and 60,978 is: 132,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164 : 60,978 = 60,978 : x
  2. Step 2: Convert to fraction form
    28,164/60,978 = 60,978/x
  3. Step 3: Cross multiply
    28,164x = 60,978 × 60,978
  4. Step 4: Simplify right side
    28,164x = 3,718,316,484
  5. Step 5: Solve for x
    x = 3,718,316,484/28,164
  6. Step 6: Final answer
    x = 132,023.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.